On the exponential Diophantine equation $x^2+p^mq^n=2y^p$

We study the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$ in positive integers $x, y, m, n$ , and odd primes $p$ and $q$ using primitive divisors of Lehmer sequences in combination with elementary number theory. We discuss the solvability of this equation.

On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$

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On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$

文献摘要

讨论

讲解博客

AI智能校验

On the exponential Diophantine equation x2+pmqn=2ypx2+pmqn=2yp

文献摘要

讨论

|讲解博客

|AI智能校验

On the exponential Diophantine equation x2+pmqn=2ypx2+pmqn=2yp

文献摘要

讨论

|讲解博客

|AI智能校验

On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$

讲解博客

AI智能校验

On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$

讲解博客

AI智能校验